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Nonparametric Filtering of the Realised Spot Volatility: A Kernel-based Approach Author info | Abstract | Publisher info | Download info | Related research | Statistics Dennis Kristensen () (School of Economics and Management, University of Aarhus, Denmark)
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A kernel weighted version of the standard realised integrated volatility es- timator is proposed. By different choices of the kernel and bandwidth, the measure allows us to focus on specific characteristics of the volatility process. In particular, as the bandwidth vanishes, an estimator of the realised spot volatility is obtained. We denote this the filtered spot volatility. We show con- sistency and asymptotic normality of the kernel smoothed realised volatility and the filtered spot volatility. The choice of bandwidth is discussed and data- driven selection methods proposed. A simulation study examines the finite sample properties of the estimators.
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Paper provided by School of Economics and Management, University of Aarhus in its series CREATES Research Papers with number
2007-02.
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Length: 33
Date of creation: 11 May 2007Date of revision:
Handle: RePEc:aah:create:2007-02Contact details of provider: Web page: http://www.econ.au.dk/afn/
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Keywords: Diffusion ; in-fill asymptotics ; kernel estimation ; nonparametric ; spot volatility ; realised volatility ; Other versions of this item:
Find related papers by JEL classification: C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
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references Cited by : (explanations , Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.)
Dennis Kristensen, 2008.
"Uniform Convergence Rates of Kernel Estimators with Heterogenous, Dependent Data ,"
CREATES Research Papers
2008-37, School of Economics and Management, University of Aarhus.
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Other versions: Fulvio Corsi & Davide Pirino & Roberto RenĂ², 2008.
"Volatility forecasting: the jumps do matter ,"
Department of Economics University of Siena
534, Department of Economics, University of Siena.
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